SOLUTION: Find all solutions in the interval o and 2pi 1.) Cos^2x+ sinx +1= 0

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Question 750407: Find all solutions in the interval o and 2pi
1.) Cos^2x+ sinx +1= 0

Answer by lwsshak3(11628) About Me  (Show Source):
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Find all solutions in the interval o and 2pi
1.) Cos^2x+ sinx +1= 0
1-sin^2(x)+sin(x)+1=0
sin^2(x)-sin(x)-2=0
(sin(x)-2)(sin(x)+1)=0
..
sin(x)=2 (reject, -1 ≤ sinx ≤ 1)
sin(x)=-1
x=3π/2